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Finding the Fourth Proportional to 9,648.39, 13,311.84 and 5,399.01

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Solution

The fourth proportional to 9,648.39, 13,311.84 and 5,399.01 is: 7,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.39 : 13,311.84 = 5,399.01 : x
  2. Step 2: Convert to fraction form
    9,648.39/13,311.84 = 5,399.01/x
  3. Step 3: Cross multiply
    9,648.39x = 13,311.84 × 5,399.01
  4. Step 4: Simplify right side
    9,648.39x = 71,870,757.28
  5. Step 5: Solve for x
    x = 71,870,757.28/9,648.39
  6. Step 6: Final answer
    x = 7,448.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.